12619196928 has 640 divisors, whose sum is σ = 43557212160. Its totient is φ = 3576545280.

The previous prime is 12619196879. The next prime is 12619196957. The reversal of 12619196928 is 82969191621.

12619196928 is a `hidden beast` number, since 1 + 2 + 619 + 19 + 6 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×12619196928² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177735133 + ... + 177735203.

It is an arithmetic number, because the mean of its divisors is an integer number (68058144).

Almost surely, 2^12619196928 is an apocalyptic number.

12619196928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12619196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21778606080).

12619196928 is an abundant number, since it is smaller than the sum of its proper divisors (30938015232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12619196928 is a wasteful number, since it uses less digits than its factorization.

12619196928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The spelling of 12619196928 in words is "twelve billion, six hundred nineteen million, one hundred ninety-six thousand, nine hundred twenty-eight".